PreprintCC BY 4.0arXiv
A proof of the Fong--Tsui conjecture
Abstract
We prove that a bounded operator T on a complex Hilbert space is self-adjoint whenever |T|≤|re T|, as conjectured by Fong and Tsui \cite{FT}.
Related
BibTeX
@misc{aouichaoui2026proof,
title = {{A proof of the Fong--Tsui conjecture}},
author = {Mohamed Amine Aouichaoui and Fuad Kittaneh and Yicen Ma},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.16236},
eprint = {2609.16236},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.16236},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A proof of the Fong--Tsui conjecture
AU - Mohamed Amine Aouichaoui
AU - Fuad Kittaneh
AU - Yicen Ma
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2609.16236
UR - https://arxiv.org/abs/2609.16236
AB - We prove that a bounded operator T on a complex Hilbert space is self-adjoint whenever |T|≤|re T|, as conjectured by Fong and Tsui \cite{FT}.
ER -